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Finding the Fourth Proportional to 765.11, 1,147.66 and 217.22

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Solution

The fourth proportional to 765.11, 1,147.66 and 217.22 is: 325.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.11 : 1,147.66 = 217.22 : x
  2. Step 2: Convert to fraction form
    765.11/1,147.66 = 217.22/x
  3. Step 3: Cross multiply
    765.11x = 1,147.66 × 217.22
  4. Step 4: Simplify right side
    765.11x = 249,288.97
  5. Step 5: Solve for x
    x = 249,288.97/765.11
  6. Step 6: Final answer
    x = 325.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.